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Finding the Fourth Proportional to 393,121, 589,681.50 and 130,465

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Solution

The fourth proportional to 393,121, 589,681.50 and 130,465 is: 195,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,121 : 589,681.50 = 130,465 : x
  2. Step 2: Convert to fraction form
    393,121/589,681.50 = 130,465/x
  3. Step 3: Cross multiply
    393,121x = 589,681.50 × 130,465
  4. Step 4: Simplify right side
    393,121x = 76,932,796,897.50
  5. Step 5: Solve for x
    x = 76,932,796,897.50/393,121
  6. Step 6: Final answer
    x = 195,697.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.